Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
28480bb |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-933232640 = -1 · 221 · 5 · 89 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 -1 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-801,-9121] |
[a1,a2,a3,a4,a6] |
Generators |
[2497:124792:1] |
Generators of the group modulo torsion |
j |
-217081801/3560 |
j-invariant |
L |
6.3973579174237 |
L(r)(E,1)/r! |
Ω |
0.44822213107663 |
Real period |
R |
7.1363699758167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28480f1 7120p1 |
Quadratic twists by: -4 8 |